MODELS OF CHEMICAL-REACTION SYSTEMS WITH EXACTLY EVALUABLE LIMIT-CYCLE OSCILLATIONS

被引：22

作者：

ESCHER, C

机构：

[1] Institut für Theoretische Physik, Rheinisch-Westfälische Technische Hochschule Aachen, Aachen, D-5100

来源：

ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER | 1979年 / 35卷 / 04期

关键词：

D O I：

10.1007/BF01332697

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

Models of open chemical reaction systems with two variables x, y and with elliptic limit cycles in concentration space are investigated. Thereby isothermal and homogeneous conditions and the validity of mass-action kinetics are assumed. Though we restrict ourselves to quadratic rate equations a lot of systems with this behaviour is found; all based on the trimolecular reaction A + 2 X → 3 X. Both globally stable and only locally stable limit cycles are possible. The time dependence of the variables on the cycle is exactly evaluated for all these systems. Bifurcations of the limit cycle are described analytically. © 1979 Springer-Verlag.

引用

页码：351 / 361

页数：11

共 12 条

[1]

ANDRONOV AA, 1973, QUALITATIVE THEORY 2, P185

[2]

Belousov B. P., 1958, SB REF RADIATS MED C, P145

[3]

CODDINGTON EA, 1955, THEORY ORDINARY DIFF, P321

[4] CHEMICAL-REACTION SYSTEMS WITH EXACTLY EVALUABLE LIMIT-CYCLE OSCILLATIONS [J].